114016630200 has 288 divisors, whose sum is σ = 411362264880. Its totient is φ = 26014208000.

The previous prime is 114016630199. The next prime is 114016630213. The reversal of 114016630200 is 2036610411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1188010 + ... + 1280390.

Almost surely, 2^114016630200 is an apocalyptic number.

114016630200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114016630200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205681132440).

114016630200 is an abundant number, since it is smaller than the sum of its proper divisors (297345634680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114016630200 is a wasteful number, since it uses less digits than its factorization.

114016630200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92439 (or 92419 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 114016630200 in words is "one hundred fourteen billion, sixteen million, six hundred thirty thousand, two hundred".